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Finding the Fourth Proportional to 596.80, 823.53 and 364.06

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Solution

The fourth proportional to 596.80, 823.53 and 364.06 is: 502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.80 : 823.53 = 364.06 : x
  2. Step 2: Convert to fraction form
    596.80/823.53 = 364.06/x
  3. Step 3: Cross multiply
    596.80x = 823.53 × 364.06
  4. Step 4: Simplify right side
    596.80x = 299,814.33
  5. Step 5: Solve for x
    x = 299,814.33/596.80
  6. Step 6: Final answer
    x = 502.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.